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The dual role of weather forecasts on changes in

activity-travel behavior

Mario Coolsa,b,c, Lieve Creemersb

aUniversit de Li`ege, TLU+C (Transport, Logistique, Urbanisme, Conception), Chemin

des Chevreuils 1 B.52/3, 4000 Li`ege, Belgium

bTransportation Research Institute (IMOB), Hasselt University, Wetenschapspark 5, bus

6, 3590 Diepenbeek, Belgium

cHogeschool-Universiteit Brussel, Centre for Information, Modelling and Simulation,

Warmoesberg 26, 1000 Brussels, Belgium

Abstract

A deeper understanding of how human activity-travel behavior is affected by various weather conditions is essential for both policy makers and traffic managers. To unravel the ambiguity in findings reported in the literature, the main objective of this paper is to obtain an accurate assessment of how weather forecasts trigger changes in Flemish activity-travel behavior. To this end, data were collected by means of a stated adaptation experiment, which was administered both on the Internet and via traditional paper-and-pencil questionnaires. To address the main research question of this paper, two statistical techniques were adopted. The first technique is the computation of Pearson chi-square independence tests. The second approach is the esti-mation of a GEE-MNL-model. The results from both techniques underscore the dual role of weather forecasts on changes in activity-travel behavior. On the one hand, the results clearly illustrate the significant effect of forecasted weather; the likelihood of changes in activity-travel behavior significantly de-pends on the weather forecasted. On the other hand, different methods of acquiring weather information (exposure, media source, or perceived relia-bility) do not impact the probability of behavioral adaptations. This duality may be partially attributable to the discrepancy that exists between weather forecasts and true traffic and roadway conditions. Therefore, the implemen-tation of a road weather information system that is directly linked to the weather forecasts is recommended.

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1. Introduction

1

As discussed by Cools et al. (2010a), a deeper understanding of how

2

various weather conditions affect human activity-travel behavior is essential

3

for policy makers and traffic managers. It provides insights that might help

4

alleviate negative effects of the road network that are often associated with

5

adverse weather. A multitude of changes in activity-travel behavior can be

6

triggered by different weather conditions. These include (i) trip cancelations

7

(elimination of the activity from the activity agenda) (e.g., Madre et al.

8

(2007), Wilton et al. (2011), Kim et al. (2010)); (ii) changes in the location

9

where the activity is performed (e.g., Hagens (2005), Koetse and Rietveld

10

(2009)); (iii) changes in the timing of the activity or the corresponding trip

11

(e.g., Chung et al. (2005), Maze et al. (2006)); (iv ) changes in the transport

12

mode (e.g., Akar and Clifton (2009), Guo et al. (2007), Kuhnimhof et al.

13

(2010)); and (v ) changes in the route for the trip (e.g., Lam et al. (2008),

14

Sumalee et al. (2011)).

15

In addition to actual weather conditions, weather reports and forecasts

16

(information on current and future weather conditions) influence travel

be-17

havior. In this regard, it is worth consulting reports regarding traffic

informa-18

tion provision, for instance, advanced traveler information systems (ATIS).

19

These systems have the potential to increase the efficiency of transportation

20

systems as well as their usefulness to individual travelers (Wang et al., 2009).

21

The provision of traffic information can induce a similar range of changes

22

in activity-travel behavior as the responses to different weather conditions

23

(e.g., Rodr´ıguez et al. (2011), Casas and Kwan (2007), Son et al. (2011), Son

24

et al. (2011), Tseng et al. (2012)). Nonetheless, the impact of the provided

25

information should not be overestimated, as the perceived value of

acquir-26

ing information is often limited (Chorus et al., 2006b; Lyons, 2006). The

27

success of information provision is contingent on the characteristics of the

28

information itself, such as its quality, accuracy, usefulness, timeliness, cost,

29

and communication mode (Zhang and Levinson, 2008). Moreover,

socio-30

economic and contextual variables significantly influence the impact of the

31

information provision (Joh et al., 2011; Chorus et al., 2006a; Ben-Elia et al.,

32

2008).

33

The published literature regarding the impact of information (weather

34

forecasts) on activity-travel behavior is ambiguous. Khattak and de Palma

35

(1997) reported that forecasted weather information did not significantly

36

affect the probabilities of adapting mode and departure time. In contrast,

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the studies by Hagens (2005), Sihvola (2009), and Kilpel¨ainen and Summala

38

(2007) demonstrated significant impacts. Thus, a fundamental question is

39

whether forecasted weather information triggers changes in activity-travel

40

behavior. This paper focuses on the impact of weather forecasts on

activity-41

travel behavior.

42

An important issue in the cross-national transferability of findings is the

43

fact that activity-travel behavior varies across spatial and temporal contexts

44

(Khattak and de Palma, 1997). Consequently, published results and

dis-45

cussions are not always applicable to specific regional context(s), such as

46

Flanders, the northern part of Belgium, which is the regional context

con-47

sidered in the present paper. Take, for example, the results of de Palma and

48

Rochat (1999) and Kilpel¨ainen and Summala (2007), which were obtained

49

in Switzerland and Finland, respectively. Adverse weather conditions such

50

as snow and hail occur more frequently in these countries than in Flanders.

51

It can be assumed that because of habituation, people in these countries

52

experience these weather phenomena differently and, therefore, adapt their

53

activity-travel behaviors differently.

54

In addition, most weather-related studies make no differentiation based

55

on the particular activity. This is a shortcoming in the literature because

56

people are less likely to change their regular commuting behavior due to

57

weather forecasts than they are to alter trips for non-work/school-related

58

purposes. Moreover, the majority of these studies only focus on a subset of

59

weather types, mostly rain and snow.

60

Given the above considerations, the main objective of this paper is to

ac-61

curately assess how weather forecasts change Flemish activity-travel

behav-62

iors, taking into account the full context of behavioral adaptations, activity

63

purposes and weather types to clarify the ambiguities in published results and

64

to verify the transferability of the results of previous studies to the context

65

of Flanders.

66

2. Data

67

2.1. Stated adaptation experiment

68

Data regarding the impact of weather forecasts on Flemish activity-travel

69

behaviors were collected by means of a stated adaptation experiment, which

70

was carried out in March and April of 2009. Respondents, who were recruited

71

by means of convenience sampling, were asked to indicate if and how they

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would change their activity-travel behaviors considering various experimental

73

attribute profiles corresponding to different weather conditions.

74

In total, 586 respondents completed the stated adaptation survey, which

75

was administered both on the Internet (86.7%) and via traditional

paper-76

and-pencil questionnaires (13.3%). As documented by Cools et al. (2010a),

77

this dual-mode administration was chosen to remedy the sample bias that

78

can be introduced when only internet-based data collection is conducted. In

79

total, 90 behavioral adaptations in response to different weather conditions

80

were queried; the frequencies of 5 travel behavior changes in response to 6

81

weather conditions were determined, and this was repeated for 3 types of

82

trips. These 90 behavioral adaptations were assayed for both actual weather

83

and forecast weather conditions, resulting in a final total of 180 potential

84

behavioral adjustments.

85

The three types of trips considered correspond to the categories of most

86

commonly performed trips according to the Flemish travel behavior survey

87

(Cools et al., 2010b): commuting (work/school), shopping and leisure trips.

88

For each of these types of trips, the respondents indicated how often (never,

89

in 1-25% of the cases, in 26-50% of the cases, or in more than 50% of the

90

cases) they would make a certain change in activity-travel behavior. The

91

following changes in travel behavior were queried: (i) changing the transport

92

mode, (ii) changing the timing of the trip (postponing or advancing the trip

93

to a later/earlier time on the same day), (iii) changing the location of the

94

activity (work/school, shopping or leisure), (iv) canceling the trip altogether,

95

and (v) changing the route of the trip.

96

In accordance with Cools et al. (2010c), who identified the weather

con-97

ditions that had significant impacts on the daily traffic intensities of Belgian

98

highways, the following weather conditions were considered: cold

tempera-99

tures (defined as temperatures below freezing (0C, 32F), abbreviated as 100

‘cold’), warm temperatures (defined as temperatures above 28C (82.4F), 101

abbreviated as ‘warm’), snow/freezing rain, heavy rain/thunderstorms

(ab-102

breviated as ‘rain’), fog and storms/heavy wind. The question format is

103

illustrated in Figure 1.

104

In addition to the stated adaptation questions, the survey also

explic-105

itly queried information concerning the average exposure of respondents to

106

weather forecasts in their daily lives. In particular, the frequency of this

107

exposure was ascertained as well as the media source(s) involved and the

108

perceived reliabilities of the weather conditions forecast (measured on a

10-109

point scale). Furthermore, the survey collected information concerning the

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Do you postpone or advance your work/school-related trip to a later/earlier moment the same day due to any of the following forecasted weather conditions?

Mark the answer that corresponds mostly to your situation. Only one answer is possible for each forecasted weather condition.

No, never Yes, occasionally Yes, sometimes Yes, usually (<25% of (<50% of (>50% of the cases) the cases) the cases)

Cold temperature     Snow/freezing rain     Heavy rain/thunderstorm     Fog     Warm temperature     Storm/heavy wind    

Figure 1: Stated adaptation question concerning postponing/advancing work/school-related trips

respondents’ socio-demographic profiles and queried different activities and

111

trip-related attributes. Although a convenience sample was used for this

112

study, the respondents’ age, gender and marital state were used as the

ba-113

sis for calculating weights that guarantee optimal correspondence between

114

the survey sample composition and the Flemish population. The weights

115

were calculated by matching the relative frequencies of the three-way

cross-116

tabulations of the sample with those of the total population. Because all the

117

cross-tabulations were known, such that the multivariate correlations were

118

taking into account, the weights ensured that the relative frequencies of the

119

weighted sample corresponded exactly to those of the total population. It is

120

worth noting that all the tables and figures presented in this paper are based

121

on the weighted results.

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2.2. Data description

123

Recall that the main goal of this paper is to investigate how weather

124

forecasts trigger changes in Flemish activity-travel behavior. The study was

125

based on the following five specific research questions:

126

1. Do changes in activity-travel behavior depend on forecasted weather

127

conditions?

128

2. Do changes in activity-travel behavior depend on degrees of exposure

129

to weather forecasts?

130

3. Do changes in activity-travel behavior depend on the media sources of

131

weather forecasts?

132

4. Do changes in activity-travel behavior depend on the perceived

relia-133

bility of weather forecasts?

134

5. Which factors trigger changes in activity-travel behavior in the

pres-135

ence of adverse weather conditions, and, in particular, what roles are

136

played by the weather-forecast characteristics (exposure, media source,

137

perceived reliability) considered herein?

138

The dependent variables required to tackle the first four questions are

139

the changes in activity-travel behavior in response to the forecasted weather

140

conditions. As mentioned in the previous subsection, 90 behavioral changes

141

were queried with regard to weather forecasts. These changes in

activity-142

travel behavior are displayed in Figure 2. Note that the original response

143

categories (never, in 1-25% of the cases, in 26-50% of the cases, or in more

144

than 50% of the cases) have been dichotomized to increase the interpretability

145

of the graph as well as for the methodological reasons discussed in Section 3.

146

From Figure 2, one can clearly see that travelers do adapt their activity-travel

147

patterns in response to forecasted weather conditions. This is especially

148

the case for trips with non-mandatory activity-trip purposes (i.e., shopping

149

and leisure trips). The forecasted weather condition that appears to trigger

150

the most changes is snow, while cold weather had the least impact. The

151

remarkably strong behavioral reactions to forecasted storms are in line with

152

the published literature regarding actual weather effects (e.g., Cools et al.

153

(2010a) and Cools et al. (2010c)).

154

To address the fifth research question, we have investigated behavioral

155

changes in response to ‘actual’ weather forecasts, taking into account the

156

different features of weather forecasts. Because respondents could indicate

157

multiple changes in activity-travel behavior simultaneously, it was necessary

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0% 5% 10% 15% 20% 25% 30% 35% 40% 45% 50%

Cold Snow Rain Fog Warm Storm        Mode Change Postpone Trip Location Change Cancelation Trip Route Change 0% 5% 10% 15% 20% 25% 30% 35% 40% 45% 50%

Cold Snow Rain Fog Warm Storm     Mode Change Postpone Trip Location Change Cancelation Trip Route Change 0% 5% 10% 15% 20% 25% 30% 35% 40% 45% 50%

Cold Snow Rain Fog Warm Storm      Mode Change Postpone Trip Location Change Cancelation Trip Route Change

Figure 2: Behavioral changes in response to different forecasted weather conditions

to prioritize the different changes. The main selection criterion behind this

159

prioritization is the overall impact of a given change on the activity-travel

be-160

havior from an environmental perspective. Note that a comparable approach

161

was followed by Cools et al. (2011) in their assessment of the impact of road

162

pricing on changes in activity-travel behavior. The prioritization scheme is

163

displayed in Table 1.

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The following example clarifies this scheme. A respondent indicated that,

165

in response to heavy rain, he/she never changes the travel route, changes the

166

activity location or makes trip changes in 1-25% of the cases, and alters

167

his/her transport mode or the timing of the trip 26-50% of the time. For

168

this respondent, the ranks for a mode change, time-of-day change, location

169

change, trip cancelation and route change are 8, 13, 7, 6 and 16, respectively.

170

The action corresponding to the lowest rank – in this case, trip cancelation

171

(which has a rank value of 6) – is the adaptation considered for the modeling

172

process because this adaptation is likely to have the largest impact from

173

an environmental point of view. If the respondent did not consider any

174

change(s), then all changes have a rank value of 6 and, correspondingly, ‘No

175

change’ would be the respondent’s choice option. Table 2 displays the overall

176

percentages of this prioritized adaptation variable. In agreement with results

177

related to weather forecasts (Figure 2), more behavioral changes are made

178

when discretionary trips are involved.

179

Table 1: Prioritization of the behavioral adaptation

Mode Time of Day Location Trip Route Change Change Change Cancelation Change

Never 16

0-25% 9 15 7 6 14

26-50% 8 13 4 3 12

>50% 5 11 2 1 10

In addition to dependent variables, different explanatory variables are

180

used to investigate the impact of weather forecasts. For the continuous

pre-181

dictors, mean and standard deviation values are provided, while, for

categor-182

ical variables, the percentages of each class are tabulated and the reference

183

category is highlighted. These categorical variables are internally coded as

184

(k − 1) dummy (0-1) variables, where k is the number of classes.

185

The first group of explanatory variables corresponds to the key

vari-186

ables in this study, which are the following weather-forecast-related variables:

187

forecasted weather conditions, average exposure to weather forecasts, media

188

source and perceived reliability of the weather forecast. As shown in Table

189

2, approximately 60% of the respondents absorb weather information on a

190

daily basis. The most important media sources for weather information are

191

television and, to a lesser extent, radio. The internet and newspapers clearly

192

play smaller roles. In general, the respondents appear to be satisfied with

193

the reliability of forecasted weather information.

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Table 2: Descriptive statistics Variable name Description

Dependent variables: Prioritized behavioral adaptation

Work/school Mode: 10.2%, Time-of-day: 10.0%, Location: 3.4%, Cancelation: 8.5%, Route: 8.2%, No change1: 59.7%

Shopping Mode: 5.5%, Time-of-day: 5.5%, Location: 9.5%, Cancelation: 33.1%, Route: 1.2%, No change1: 45.2%

Leisure Mode: 5.4%, Time-of-day: 4.2%, Location: 8.2%, Cancelation: 33.8%, Route: 1.8%, No change1: 46.6%

Independent variables

Weather forecast characteristics

Weather type2 Cold: 16.7%, Snow: 16.7%, Rain: 16.7%,

Fog: 16.7%, Warm1:16.7%, Storm:16.7%

Exposure Daily1: 59.3%, Weekly: 33.2%, Occasionally: 7.5%

Media source3 Television1: 81.2%, Radio: 63.4%, Internet: 23.1%, Newspaper: 22.9%

Perceived reliability Low (1-5): 15.4%, High1(6-10): 84.6%

Socio-demographic characteristics

Age Mean: 43.3, Standard Deviation: 15.1 Gender Female: 49.0%, Male1: 51.0%

Children No1: 35.3%, Yes: 64.7%

Degree No secondary: 12.9%, Secondary: 36.3%, College: 30.5%, University1: 20.2%

Income Low1 (≤ 1250e): 20.2%, Medium-High (> 1250e): 70.0%, Unspecified: 9.7%

Marital state Single1: 36.7%, Married: 63.3%

Profession Professionally active: 73.3%, Students1: 11.3%, Inactive: 15.4%

Urbanization Metropolitan: 16.5%, Strong: 11.3%, Moderate: 50.8%, Weak1: 21.5%

Transport-related characteristics

Bicycle ownership No: 6.5%, Yes1: 93.5%

Car ownership No: 3.1%, Yes1: 96.9%

Driving license No: 11.6%, Yes1: 88.4%

Season ticket No: 60.9%, Yes1: 39.1%

Work/school trips Mean: 4.4, Standard Deviation: 3.7 Shopping trips Mean: 2.1, Standard Deviation: 1.7 Leisure trips Mean: 3.7, Standard Deviation: 2.7

1: Reference category

2: The percentages are equal because of the experimental design

3: The percentages do not sum to 100% because the 4 media sources were queried separately

In addition to weather-forecast-related variables, the explanatory

vari-195

ables include different descriptors of the socio-demographic profiles of

re-196

spondents. Recall that the results in this paper are based on weighted

re-197

sults, which is also the case for the descriptive statistics displayed in Table

198

2. The following variables were considered: age, gender; children, degree,

199

income, marital state, profession and urbanization. In addition,

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related variables were considered; in particular, bicycle and car ownership

201

within the household as well as possession of a driving license and/or a

pub-202

lic transport season ticket were envisaged. In addition to variables related

203

to the availabilities of transport options, actual travel behavior was surveyed

204

by recording the weekly frequency of work/school trips, shopping trips and

205

leisure trips.

206

3. Methodology

207

To address the main research question of this paper, two statistical

tech-208

niques were adopted. The first technique, the Pearson chi-square

indepen-209

dence test, was used to test the first four research questions. This technique

210

was adopted to assess the (univariate) relationship between weather forecast

211

attributes (i.e., exposure, media source and perceived reliability) and changes

212

in response(s) to forecasted weather conditions.

213

The Pearson statistic Qp is defined by Equation 1:

Qp = k X i=1 l X j=1 (nij − ˆµij)2 ˆ µij , (1)

where nij is the observed frequency in cell (i, j), which is calculated by mul-214

tiplying the observed chance by the sample size, and ˆµij is the expected 215

frequency for table cell (i, j). When the row and column variables are

inde-216

pendent, Qp has an asymptotic chi-square distribution with (k − 1)(l − 1) 217

degrees of freedom (Agresti, 2002). The test assumes that at least 80% of

218

the cells have expected frequencies of 5 or more. When this assumption is

219

not met, modifications of the answer categories are required to ensure that

220

this criterion is satisfied. This is operationalized in the present study by

221

reducing the original response categories (never, in 1-25% of the cases, in

222

26-50% of the cases, or in more than 50% of the cases) to the dichotomous

223

answer possibilities ‘Change’ and ‘No change’.

224

Secondly, to investigate the fifth research question (the identification of

225

factors that trigger changes in activity-travel behavior in the presence of

ad-226

verse weather conditions and the determination of the role of weather-forecast

227

characteristics), a GEE-MNL-model was constructed. The GEE-MNL model

228

extends the classical multinomial logit (MNL) model by explicitly taking into

229

account the correlated responses by means of a marginal effect model that is

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estimated using generalized estimating equations (GEE). In marginal

mod-231

els, the mean function is modeled directly, and the correlation structure is

232

regarded as a nuisance parameter. It is important to consider this

corre-233

lation structure, as behavioral adaptations in response to different weather

234

conditions are most likely correlated. In other words, a certain behavioral

235

adaptation in response to one weather condition is likely to be correlated to

236

the behavioral adaptation in response to another weather condition.

237

To estimate the GEE-MNL model, the procedure suggested by Kuss and

238

McLerran (2007) was followed: the GEE-MNL model was specified as a

239

marginal model by reorganizing the response vector in a way that enables it

240

to be fitted as a multivariate binary model. The original variable Yij, corre-241

sponding to behavioral adaptations in response to certain weather variables,

242

is now written as an ((R − 1) × 1)-vector Y?

ij of binary variables Yijr? , such 243

that Yij = 2, ..., R results in Yij? = 1 in column r and 0 anywhere else. 244

In the case of Yij = 1 (reference category), Yij? = 0 in all R − 1 columns. 245

In the present paper, R equals 6 (5 behavioral changes + the no-change

al-246

ternative in cases where no change was made), and the no-change alternative

247

is defined as the reference category.

248 Let Y? i = (Y? 0 i1, ..., Y? 0

in1) denote the (ni(R − 1) × 1) response vector for the

i-th cluster with expectation π?

i and covariance matrix Vi?. This covariance

V?

i is a ‘double-block’ diagonal matrix, where the (R − 1) × (R − 1)-block

for (r,r0) on the ‘inner’ block of the main diagonal of V?

i is a multinomial

covariance matrix for the j-th observation in the i-th cluster. Furthermore, it is noteworthy that the remaining elements on the ‘outer’ block specify the covariance between two different observations (j,j0) in the i-th cluster.

Formally, this amounts to

V∗ i = cov(Yijr , Y∗ij0r0) =        π∗ ijr(1 − π∗ijr) if j = j0, r = r0 −π∗ ijrπijr∗ 0 if j = j0, r 6= r0 corr(Y ijr,Y∗ij0r0) π∗

ijr(1−π∗ijr)π∗ij0r0(1−π ij0r0)

if j 6= j0

, (2)

where the first two lines of Equation 2 correspond to the ‘inner’ block of V? i ,

the third line corresponds to the ‘outer’ block, and π∗

ijr = E[Yijr∗ = 1]. It

should be noted that the third line does not constitute a circular definition. Instead, corr(Y∗

ijr, Yij∗0r0) must be given a working correlation pattern in the

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equation: log( π ? ir 1 − π? ir ) = θ? r+ Xij0 βr?, (3) where π?

ir denotes the expectation of all elements of Yi? belonging to response 249

category r, θ?

r a vector of parameters to be estimated and Xij the vector of 250

explanatory variables. Note that there is no reference to a random effect in

251

the model equation.

252

4. Results

253

4.1. Impact of forecasted weather conditions and weather forecast

character-254

istics

255

Remember that, to address the first four research questions, the different

256

behavioral changes (displayed in Figure 2) were analyzed using independence

257

tests. Thus, for the first four research questions the 5 behavioral changes were

258

all taken into account and not prioritized as is the case for the fifth research

259

question. Table 3 displays the results of the statistical tests assessing the

260

dependence of behavioral changes on the type of forecasted weather. This

261

table indicates that all behavioral changes depend (with statistical

signifi-262

cance) on the type of forecasted weather. In other words, across the three

263

different types of trips and across the six behavioral changes, the type of

264

forecasted weather clearly influences the changes in travelers’ activity

pat-265

terns. Take, for example, the dependence of mode changes in work/school

266

trips on the type of forecasted weather. The chi2-value for this test equals

267

108.95, and the degrees of freedom equal 15 (=(6 weather conditions - 1)×

268

(4 response levels - 1), which yields a p-value that is smaller than 0.001 and,

269

thus, smaller than the typical level of significance (α = 0.05). Consequently,

270

the null hypothesis of this test, that mode changes in work/school trips are

271

independent of the type of forecasted weather, should be rejected.

Further-272

more, it can be concluded that the type of forecasted weather significantly

273

influences mode changes in work/school trips. Similar conclusions can be

274

drawn for all the other tests presented in Table 3.

275

With regard to the effect of the travelers’ average exposure to weather

276

forecasts, one can discern from Table 4 that the exposure level to weather

277

forecasts has only limited influence on the changes in activity-travel behavior.

278

With regard to work/school trips, the chi2-tests indicate that, regardless

279

of the weather condition considered, the behavioral changes in response to

280

weather forecasts do not significantly depend on the exposure level(s) to

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Table 3: Dependence of behavioral changes on the type of forecasted weather Behavioral Change Work/School Shopping Leisure

Chi2 DF Chi2 DF Chi2 DF

Mode Change 108.95 15 57.58 15 80.03 15

Postpone Trip 353.43 15 290.50 15 311.48 15 Location Change 51.51 5 101.01 15 42.55 15 Cancelation Trip 111.28 5 291.51 15 269.80 15 Route Change 260.03 15 162.49 15 192.80 15 The p-values for all independence tests are less than 0.001

these forecasts. A similar result can be depicted for leisure trips, although

282

the behavioral changes in response to warm weather forecasts do depend

283

significantly on exposure levels. In contrast, behavioral changes in relation

284

to shopping trips are more likely to be impacted by exposure levels. In the

285

case of forecasts predicting rain, snow or fog, the behavioral changes are

286

significantly affected by weather forecasts.

287

Concerning the impact of media sources of weather forecasts on changes

288

in activity-travel behavior, Table 4 shows that the results indicate that

be-289

havioral adaptations do not depend on the media source. Irrespective of the

290

type of trips and the type of forecasted weather, the likelihood that

travel-291

ers will change their activity-travel behavior is not influenced by the media

292

source. Thus, in contrast to the effect of exposure, the media source of the

293

weather forecast does not significantly affect activity-travel behavior.

294

The final weather-forecast aspect that was investigated in this study is

295

the perceived reliability of the weather forecast, which was measured on a 10

296

point scale. A dichotomization of the perceived reliability into low perceived

297

reliability (1-5) and high perceived reliability (6-10) was performed to

in-298

vestigate the impact of perceived reliability on the probability that travelers

299

will adjust their activity-travel behaviors. From Table 4, one can see that,

300

in accordance with the results regarding the media source, the perceived

re-301

liability of the weather forecast does not affect the travelers’ frequencies of

302

making changes in their activity-travel behavior. This is true for every trip

303

type and weather condition considered in this study.

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Table 4: Dependence of behavioral changes on the characteristics of the weather forecast Activity Type Weather Type Exposure1 Media Source2 Reliability3

Chi P-value Chi P-value Chi P-value

Work/School Cold 6.19 0.995 12.71 0.991 2.10 0.990 Snow 14.67 0.685 10.35 0.998 12.25 0.199 Rain 7.79 0.982 18.40 0.891 2.72 0.974 Fog 13.71 0.748 18.26 0.896 6.39 0.700 Warm 11.84 0.855 11.56 0.996 3.87 0.919 Storm 13.30 0.773 20.51 0.809 6.79 0.659 Shopping Cold 21.10 0.274 9.97 0.999 7.84 0.551 Snow 43.52 0.001 13.64 0.984 6.94 0.643 Rain 31.52 0.025 10.64 0.998 10.63 0.302 Fog 46.91 <0.001 21.02 0.785 5.09 0.827 Warm 25.10 0.122 17.34 0.922 4.14 0.902 Storm 22.82 0.198 9.47 0.999 8.51 0.484 Leisure Cold 6.58 0.993 17.55 0.917 7.81 0.554 Snow 20.65 0.298 8.75 0.999 10.51 0.311 Rain 20.85 0.287 7.17 0.999 5.21 0.816 Fog 17.44 0.493 11.77 0.995 4.17 0.900 Warm 31.04 0.028 22.25 0.724 7.56 0.579 Storm 18.06 0.452 13.53 0.985 9.24 0.415

Bold italic values indicate a significant effect of the weather forecast characteristic Degrees of freedom:

1: 18 ((3 levels of exposure - 1) × (5 behavioral changes x 2 answers (Yes/No) - 1)) 2: 27 ((4 media sources - 1) × (5 behavioral changes x 2 answers (Yes/No) - 1)) 3: 9 ((2 levels of reliability - 1) × (5 behavioral changes x 2 answers (Yes/No) - 1))

(15)

4.2. Determinants of changes in activity travel behavior and the role of weather

305

forecast characteristics

306

To determine the factors that trigger changes in activity-travel behavior

307

in the presence of adverse weather conditions, and particularly, to determine

308

the role of the characteristics (exposure, media source, perceived reliability)

309

of the weather forecasts, a GEE-MNL-model was constructed. It should be

310

noted that the prioritization of the different changes in activity-travel

behav-311

ior was required, as respondents could indicate multiple changes

simultane-312

ously (see Table 1). After prioritizing the changes in activity-travel behavior,

313

the transformed (prioritized) response variables were then analyzed using the

314

proposed GEE-MNL modeling framework.

315

The explanatory variables that were considered for the analysis are listed

316

in Table 2. Three groups of explanatory variables were taken into

consid-317

eration. The first group of explanatory variables includes the key variables

318

in this study, namely the weather-forecast-related variables: the forecasted

319

weather condition, the exposure to the weather forecasts, the media source

320

and the perceived reliability of the weather forecast. In addition to these

321

weather-forecast-related variables, the explanatory variables included

differ-322

ent descriptors of the socio-demographic profile of the respondents. Finally,

323

different transport-related variables were envisaged.

324

Separate models were estimated for each type of activity purpose. Only

325

the significant factors (assuming a level of significance of 5%) were retained

326

in the final models. The level of significance was determined by examining

327

the type III score statistics. These statistics provide insight into the overall

328

effect of a variable. For instance, in the case of a categorical variable, these

329

statistics are calculated based on the different dummy variables

simultane-330

ously. Take as an example the type of weather condition. Because there are 6

331

different weather conditions considered, the simultaneous effects of 5 dummy

332

variables are assessed using this type III score. As noted in section 3, the

333

formulation of the GEE-MNL was estimated as a multivariate binary model

334

(5 binary outcomes). Therefore, the corresponding type III score statistic

335

for this variable corresponds to 25 (5×5) degrees of freedom. It should be

336

noted that the ‘no-change’-alternative was used as the reference category in

337

this MNL model.

338

From Table 5, one can note that the type of weather condition is the most

339

predominant explanatory variable in all three models. The largest share

340

of the variance in the behavioral changes is thus attributable to the type

(16)

of weather. In addition, it should be mentioned that exposure to weather

342

forecasts, media source, and perceived reliability of the weather forecast play

343

no role. After all, only the significant factors are presented in Table 5, and

344

these variables did not have a significant impact in any of the three models.

345

Table 5: Score statistics for Type III GEE-MNL analysis

Selected Work/School Shopping Leisure

Variables Chi2 DF Sign.1 Chi2 DF Sign.1 Chi2 DF Sign.1

Weather Type 272.39 25 ? ? ? 267.98 25 ? ? ? 254.44 25 ? ? ? Age 42.06 5 ? ? ? − − − −− −− 47.55 5 ? ? ? Gender − − − −− −− 17.66 5 ?? − − − −− −− Children 12.32 5 ? − − − −− −− − − − −− −− Degree − − − −− −− − − − −− −− 27.54 15 ? Profession − − − −− −− 20.82 10 ? − − − −− −− Urbanization 40.45 15 ? ? ? − − − −− −− − − − −− −− Driving License − − − −− −− 14.13 5 ? 13.05 5 ? Season ticket 16.71 5 ?? − − − −− −− − − − −− −−

− − − indicates that this variable was not incorporated in the final model 1 Significance: n.s.: p-value ≥ 0.05, ? p-value < 0.05,

?? p-value < 0.01, ? ? ? p-value < 0.001

The interpretation of the individual parameters of weather effects, which

346

are presented in Table 6, is not straightforward. On the one hand, these

347

parameters are alternative, specific, and conditional upon the reference

al-348

ternative (i.e., the no-change alternative). On the other hand, the parameters

349

are conditional upon the reference category of the weather variable itself (i.e.,

350

extreme warm weather).

351

Concerning work- and school-related trips, it appears that fewer mode

352

changes are made in the presence of fog and cold temperatures compared

353

to snow and warm weather. The likelihood of changing the timing of the

354

trip appears to be higher for all weather conditions in comparison to warm

355

weather. Location changes appear to be least dependent on weather type;

356

nonetheless, the probability of changing the work or school location is higher

357

in the presence of snow and storms. Finally, trip cancelations and route

358

changes are most likely to occur in the presence of snow.

359

Regarding shopping trips, one could observe that mode changes are more

360

likely to be made in warm weather compared to other extreme weather

con-361

ditions. Furthermore, it is noteworthy that the timing of shopping trips is

362

most likely to be changed in the presence of rain and storms and that the

363

probability of altering the shopping location is highest during periods of fog

(17)

Table 6: Parameter Estimates for the GEE-MNL Models

Mode Time-of-day Location Cancelation Route

Parameter Est. Std.E. Est. Std.E. Est. Std.E. Est. Std.E. Est. Std.E. Parameter Estimates for the Work/School Model

Intercept -1.831 0.531 -3.260 0.531 -1.499 1.375 -1.685 0.581 -5.269 0.657 Weather Cold -1.204 0.241 1.255 0.356 0.382 0.390 -1.114 0.290 1.821 0.479 Snow 0.195 0.221 2.195 0.356 1.406 0.446 0.960 0.199 2.860 0.481 Rain -0.122 0.249 2.149 0.348 0.699 0.479 -0.725 0.240 2.145 0.481 Fog -1.238 0.324 2.233 0.353 0.314 0.583 -1.177 0.324 2.248 0.478 Storm -0.395 0.234 1.861 0.358 0.994 0.345 -0.501 0.238 1.925 0.483 Age -0.024 0.008 -0.024 0.006 -0.058 0.016 -0.016 0.008 -0.015 0.008 Children 0.686 0.274 0.322 0.261 -0.409 0.453 -0.302 0.294 -0.314 0.266 Urbanization Metropolitan 1.029 0.398 -0.762 0.367 -0.800 0.732 -0.178 0.443 0.781 0.427 Strong -0.001 0.433 -0.339 0.359 -1.830 0.705 0.919 0.491 0.793 0.438 Medium 0.365 0.356 -0.511 0.281 -0.143 0.661 0.326 0.429 0.902 0.324 Season ticket -0.129 0.229 0.381 0.234 0.004 0.352 -0.156 0.273 1.010 0.315

Parameter Estimates for the Shopping Model

Intercept -1.423 0.275 -2.660 0.385 -3.281 0.314 -2.675 0.247 -3.914 0.723 Weather Cold -1.099 0.303 0.615 0.319 0.010 0.203 -0.303 0.186 0.127 0.291 Snow -1.385 0.322 -0.006 0.302 0.595 0.248 2.202 0.159 1.062 0.847 Rain -1.180 0.289 0.725 0.282 0.633 0.232 1.471 0.158 -0.435 0.971 Fog -1.800 0.399 0.555 0.312 0.638 0.195 0.791 0.152 0.841 0.537 Storm -1.290 0.305 0.785 0.285 0.338 0.206 1.335 0.151 -2.522 1.258 Gender -0.623 0.306 -0.156 0.274 0.612 0.284 0.523 0.185 -0.801 0.590 Profession Active -0.128 0.301 -0.704 0.278 0.190 0.275 0.591 0.217 -0.833 0.440 Inactive -0.666 0.431 -0.930 0.634 0.666 0.458 0.826 0.382 0.425 0.836 Driving license -1.466 0.435 -0.117 0.421 -0.061 0.391 0.775 0.393 -0.988 0.845

Parameter Estimates for the Leisure Model

Intercept -0.031 0.412 -3.120 0.518 -1.660 0.442 -2.677 0.382 -7.199 1.041 Weather Cold -1.580 0.277 -0.542 0.587 -0.191 0.197 0.230 0.167 1.718 0.816 Snow -1.603 0.262 0.408 0.476 -0.227 0.245 2.177 0.166 2.984 0.858 Rain -1.612 0.269 1.117 0.402 0.011 0.227 1.321 0.148 2.762 0.853 Fog -2.135 0.300 0.904 0.460 -0.036 0.216 0.904 0.150 2.853 0.802 Storm -1.632 0.272 0.415 0.479 0.117 0.205 1.383 0.152 2.128 0.888 Age -0.054 0.008 -0.009 0.011 -0.020 0.011 0.025 0.008 -0.020 0.012 Degree No secondary 1.832 0.524 0.091 0.685 0.401 0.647 -0.763 0.422 2.617 0.684 Secondary 0.367 0.354 0.041 0.446 0.309 0.374 -0.211 0.256 1.172 0.570 College 0.318 0.398 -0.561 0.455 -0.363 0.405 -0.109 0.263 2.124 0.595 Driving license -0.550 0.346 -1.236 0.972 0.108 0.440 0.136 0.471 -2.155 0.787

or rain. Finally, in accordance with commuting trips, trip cancelations and

365

route changes have the highest likelihood of occurring in the presence of

366

snow.

367

The investigation of the parameter estimates relating to leisure trips

368

(18)

of switching the transport mode is the highest in warm weather. In addition,

370

one could observe that rain and fog are associated with the highest

probabil-371

ity to make time-of-day changes. Changes in the leisure location do not to

372

appear to be related to the type of weather. Finally, similar to commuting

373

and shopping trips, trip cancelations and route changes are more likely to

374

occur in the presence of snow.

375

With regard to the socio-demographic profile of the respondents, it is

376

clear from Table 5 that various socio-demographic variables contribute to

377

explaining the changes in activity-travel behavior. However, the

contribu-378

tions of these variables are limited to specific types of trips. Take age as

379

an example. With the exception of cancelations of leisure trips, for which

380

age has an increasing effect, age only has a significant effect on the

likeli-381

hood of making changes in work/school and leisure trips. In particular (see

382

Table 6), higher ages correspond to a lower likelihood of making behavioral

383

adaptations in these types of trips. In contrast, the probability of adapting

384

shopping trips is not influenced by age.

385

With respect to transport- and travel-related attributes, it may be that

386

only the possession of a driving license and a season ticket for public

trans-387

port play roles. The ownership of various transport modes and the frequency

388

of making trips with a certain activity purpose are not influential. The

pos-389

session of a season ticket appears to decrease the likelihood of route changes

390

during commuting trips. Note that the sign of the estimate – the estimate

391

corresponds to the respondents without season ticket – is positive.

There-392

fore, the effect of having a season ticket is negatively associated with the

393

probability of altering routes. Similarly, one could predict that the

posses-394

sion of a driving license increases the chance of changing transport modes in

395

shopping trips and making route changes during leisure trips. In contrast,

396

the likelihood of canceling shopping trips is lower for persons that possess a

397

driving license

(19)

5. Discussion

399

The results presented in the previous section underscore the dual role

400

of weather forecasts regarding changes in activity-travel behaviors. On the

401

one hand, the results from both the independence tests (Table 3) and the

402

GEE-MNL-model (Table 5) clearly illustrate the following significant effect

403

of forecasted weather: the likelihood of making changes in activity-travel

404

behavior depends significantly on the type of weather. On the other hand,

405

the different methods of acquiring weather information (exposure, media

406

sources, and perceived reliability) did not appear to impact the probability

407

of behavioral adaptations.

408

This aforementioned duality is partially related to the difference(s)

be-409

tween weather forecasts and the true traffic and roadway conditions. It is

410

more difficult for travelers to assess the effects of weather forecasts on road

411

weather conditions, particularly with regard to their own observations of

412

weather conditions. Often, behavioral alterations based on the travelers’ own

413

weather perceptions are limited to last-minute adaptations, such as

chang-414

ing the route or making time-of-day changes. Other adjustments, such as

415

changing the activity location, changing transport mode or canceling the

416

trip/activity, typically require longer times because these adaptations are

417

generally planned more ahead of time and, thus, fall out of this last-minute

418

range. This is the case for all three types of trips but is especially true for

419

commuting trips. This observation is also underscored by the descriptive

420

analysis (Figure 2), which showed that last minute alterations are, by far,

421

more often chosen in response to adverse weather conditions than so-called

422

’planned’ changes. To encourage ’planned’ adaptations, the discrepancies

423

between weather forecasts and the actual road conditions should be reduced.

424

One possibility is to link road weather information systems to weather

fore-425

casts. Studies from Kilpel¨ainen and Summala (2007) and Sihvola (2009)

426

showed that such road weather information services and, thus, weather

fore-427

casts have clear effects on trip schedulers. Nonetheless, the challenge lies in

428

tailoring such a system for the specific context of Flanders and the Flemish

429

weather.

430

A concern that is often raised with regard to stated adaptation

experi-431

ments is the validity of the results. In this regard, it is important to stress

432

that all the results presented in this paper were weighted such that there was

433

an optimal correspondence between the true population and the respondents

434

of the survey. Moreover, an internal validity check was performed to assess

(20)

the quality of the data. Table 7 presents the independence tests of both the

436

impact of actual weather and that of forecasted weather on the changes in

437

activity-travel behavior. As expected, the effect of actual weather conditions

438

is greater than the influence of forecasted weather conditions. This result

439

can be observed by comparing the larger Chi2-values for actual weather

con-440

ditions with the values corresponding to forecasted weather conditions. Note

441

that such comparisons of Chi2-values can be made as long as both compared

442

values correspond to the same number of degrees of freedom. The larger

im-443

pact of actual weather, therefore, provides internal evidence that the stated

444

adaptation experiment is valid.

445

Table 7: Significance of the type of weather: actual weather vs. forecasted weather1

Activity Behavioral Actual Weather Forecasted Weather

Type Change Chi2 DF Chi2 DF

Work/School Mode Change 138.71 15 108.95 15 Postpone Trip 409.05 15 353.43 15 Location Change2 81.12 15 51.51 5 Cancelation Trip2 174.79 5 111.28 5 Route Change 362.56 15 260.03 15 Shopping Mode Change 92.24 15 57.58 15 Postpone Trip 542.97 15 290.50 15 Location Change 235.69 15 101.01 15 Cancelation Trip 555.65 15 291.51 15 Route Change 302.34 15 162.49 15 Leisure Mode Change 107.92 15 80.03 15 Postpone Trip 522.45 15 311.48 15 Location Change 62.85 15 42.55 15 Cancelation Trip 405.26 15 269.80 15 Route Change 357.76 15 192.80 15 1 All p-values < 0.001

2 Estimated using reduced answer possibilities (Yes/No)

6. Conclusions

446

This paper accurately assesses how weather forecasts induce changes in

447

Flemish activity-travel behavior. The most important result is the dual role

448

of weather forecasts with regard to activity-travel behavior. This duality

pro-449

vides insight into the ambiguity of the findings reported in the international

450

literature. Moreover, the results validate the previously published findings

(21)

of Khattak and de Palma (1997), who observed no significant effect of

ac-452

quiring forecasted weather information on the likelihood of adapting mode

453

choice and departure times.

454

The deeper understanding of how weather forecasts directly and indirectly

455

affect traffic intensities provides insight for policy makers with regard to

456

mitigating the negative impacts of forecasted adverse weather conditions.

457

Therefore, the effect(s) of weather forecasts on travel behavior in

weather-458

sensitive dynamic traffic models must be taken into consideration. These

459

types of models will lead to more accurate traffic forecasts and can serve as

460

important decision support tools for both long-term and short-term policy

461

decisions. Take, for example, the case in which traffic managers attempt

462

to reduce the negative impacts of inclement weather by intervening through

463

various weather-related advisory and control measures; this practice is also

464

referred to as weather responsive traffic management. A weather-sensitive

465

traffic model could be a useful decision support tool for determining which

466

measure is most applicable to a particular situation.

467

Furthermore, as noted in the discussion section, this study recommends

468

the implementation of a road weather information system that is directly

469

linked to weather forecasts in an attempt to address the discrepancy between

470

the weather forecasts and the traffic and roadway conditions in Flanders.

471

Future research efforts should focus on the integration of the present

472

findings into travel demand modeling frameworks. Moreover, models that

473

directly link the effects of weather forecasts to the overall traffic observed

474

on the network should be developed and further enhanced. Finally, data

475

collection methods should attempt to survey both weather conditions and

476

associated travel behavior with as much detail (both in space and time) as

477

possible.

(22)

7. Acknowledgements

479

The authors would like to acknowledge Professor Wets for his guidance.

480

In addition, the authors would like to express their gratitude to Lies Kwanten

481

for proofreading the manuscript. Finally, the authors wish to thank the two

482

anonymous reviewers for their useful comments and suggestions.

483

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Figure

Figure 1: Stated adaptation question concerning postponing/advancing work/school- work/school-related trips
Figure 2: Behavioral changes in response to different forecasted weather conditions
Table 1: Prioritization of the behavioral adaptation
Table 2: Descriptive statistics Variable name Description
+6

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